# Prime Factors of 1252

Prime Factors of 1252 are 2, 2, and 313

#### How to find prime factors of a number

 1.   Prime Factorization of 1252 by Division Method 2.   Prime Factorization of 1252 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 1252 by Division Method

To find the primefactors of 1252 using the division method, follow these steps:

• Step 1. Start dividing 1252 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 1252, which is 2. Divide 1252 by 2 to obtain the quotient (626).
1252 ÷ 2 = 626
• Step 3. Repeat step 1 with the obtained quotient (626).
626 ÷ 2 = 313
313 ÷ 313 = 1

So, the prime factorization of 1252 is, 1252 = 2 x 2 x 313.

#### Steps to find Prime Factors of 1252 by Factor Tree Method

We can follow the same procedure using the factor tree of 1252 as shown below:

So, the prime factorization of 1252 is, 1252 = 2 x 2 x 313.

#### How do you define Prime Factors of a number?

Prime numbers, in mathematics are all those natural numbers greater than 1 that have exactly 2 factors which are 1 and the number itself. When we express any number as the product of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 1252 are 2 x 2 x 313.

#### Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• Any number can have only 1 even prime factor and that is number 2.
• Two prime factors are always coprime to each other.
• 1 is the factor of any given number, but 1 is neither a prime number nor a composite number. So, 1 is the factor of 1252 but not a prime factor of 1252.

• Which is the smallest prime factor of 1252?

Smallest prime factor of 1252 is 2.

• What is the prime factorization of 1252?

Prime factorization of 1252 is 2 x 2 x 313.

• What are the factors of 1252?

Factors of 1252 are 1 , 2 , 4 , 313 , 626 , 1252.

• Is 1252 a prime number or a composite number?

1252 is a composite number.

• Is 1252 a prime number?

false, 1252 is not a prime number.

• Which is the largest prime factors of 1252?

The largest prime factor of 1252 is 313.

• What is the sum of all prime factors of 1252?

Prime factors of 1252 are 2 x 2 x 313. Therefore, their sum is 317.

• What numbers are the prime factors of 1252?

Prime factors of 1252 are 2 , 2 , 313.

• What is the sum of all odd prime factors of 1252?

Prime factors of 1252 are 2 , 2 , 313, out of which 313 are odd numbers. So, the sum of odd prime factors of 1252 is 313 = 313.